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Finding the Fourth Proportional to 414,118.64, 571,465.32 and 253,243.28

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Solution

The fourth proportional to 414,118.64, 571,465.32 and 253,243.28 is: 349,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,118.64 : 571,465.32 = 253,243.28 : x
  2. Step 2: Convert to fraction form
    414,118.64/571,465.32 = 253,243.28/x
  3. Step 3: Cross multiply
    414,118.64x = 571,465.32 × 253,243.28
  4. Step 4: Simplify right side
    414,118.64x = 144,719,752,043.05
  5. Step 5: Solve for x
    x = 144,719,752,043.05/414,118.64
  6. Step 6: Final answer
    x = 349,464.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.